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Social welfare in search games with asymmetric information. (English) Zbl 1492.91126

Summary: We consider games in which players search for a hidden prize, and they have asymmetric information about the prize’s location. We study the social payoff in equilibria of these games. We present sufficient conditions for the existence of an equilibrium that yields the first-best payoff (i.e., the highest social payoff under any strategy profile), and we characterize the first-best payoff. The results have interesting implications for innovation contests and R&D races.

MSC:

91B15 Welfare economics
91A05 2-person games
91A80 Applications of game theory

References:

[1] Ackermann, Heiner; Röglin, Heiko; Vöcking, Berthold, Pure Nash equilibria in player-specific and weighted congestion games, Theor. Comput. Sci., 410, 17, 1552-1563 (2009) · Zbl 1159.91328
[2] Akcigit, Ufuk; Liu, Qingmin, The role of information in innovation and competition, J. Eur. Econ. Assoc., 14, 4, 828-870 (2015)
[3] Aumann, Robert J., Agreeing to disagree, Ann. Stat., 4, 6, 1236-1239 (1976) · Zbl 0379.62003
[4] Ben-Zwi, Oren, Walrasian’s characterization and a universal ascending auction, Games Econ. Behav., 104, 456-467 (2017) · Zbl 1393.91073
[5] Birkhoff, Garrett, Tres observaciones sobre el algebra lineal, Univ. Nac. Tucumán, 5, 147-154 (1946)
[6] Blonski, Matthias, The women of cairo: equilibria in large anonymous games, J. Math. Econ., 41, 3, 253-264 (2005) · Zbl 1114.91018
[7] Bronfman, Slava; Alon, Noga; Hassidim, Avinatan; Romm, Assaf, Redesigning the Israeli medical internship match, ACM Trans. Econ. Comput., 6, 3-4, 1-18 (2018)
[8] Bryan, Kevin A.; Lemus, Jorge, The direction of innovation, J. Econ. Theory, 172, 247-272 (2017) · Zbl 1414.91256
[9] Budish, Eric; Che, Yeon-Koo; Kojima, Fuhito; Milgrom, Paul, Designing random allocation mechanisms: theory and applications, Am. Econ. Rev., 103, 2, 585-623 (2013)
[10] Chatterjee, Kalyan; Evans, Robert, Rivals’ search for buried treasure: competition and duplication in r&d, Rand J. Econ., 35, 1, 160-183 (2004)
[11] Che, Yeon-Koo; Gale, Ian, Optimal design of research contests, Am. Econ. Rev., 93, 3, 646-671 (2003)
[12] Chen, Yiling; Nissim, Kobbi; Waggoner, Bo, Fair information sharing for treasure hunting, (Twenty-Ninth AAAI Conference on Artificial Intelligence (2015)), 851-857
[13] Cormen, Thomas H.; Leiserson, Charles E.; Rivest, Ronald L.; Stein, Clifford, Introduction to Algorithms (2009), MIT Press: MIT Press Cambridge, MA · Zbl 1187.68679
[14] Erat, Sanjiv; Krishnan, Vish, Managing delegated search over design spaces, Manag. Sci., 58, 3, 606-623 (2012)
[15] Fershtman, Chaim; Rubinstein, Ariel, A simple model of equilibrium in search procedures, J. Econ. Theory, 72, 2, 432-441 (1997) · Zbl 0883.90144
[16] Ford, L. R.; Fulkerson, D. R., Maximal flow through a network, Can. J. Math., 8, 399-404 (1956) · Zbl 0073.40203
[17] Fullerton, Richard L.; McAfee, Preston R., Auctioning entry into tournaments, J. Polit. Econ., 107, 3, 573-605 (1999)
[18] Kleinberg, Jon; Oren, Sigal, Mechanisms for (mis)allocating scientific credit, (Proceedings of the 43rd Annual ACM Symposium on Theory of Computing (2011)), 529-538 · Zbl 1288.91027
[19] Koh, Youngwoo, Incentive and sampling effects in procurement auctions with endogenous number of bidders, Int. J. Ind. Organ., 52, 393-426 (2017)
[20] Konrad, Kai A., Search duplication in research and design spaces: exploring the role of local competition, Int. J. Ind. Organ., 37, 222-228 (2014)
[21] Letina, Igor, The road not taken: competition and the R&D portfolio, Rand J. Econ., 47, 2, 433-460 (2016)
[22] Letina, Igor; Schmutzler, Armin, Inducing variety: a theory of innovation contests, Int. Econ. Rev., 60, 4, 1757-1780 (2019) · Zbl 1431.91171
[23] Liu, Qingmin, Wong, Yu Fu, 2021. Strategic exploration: preemption and prioritization. Mimeo.
[24] Loury, Glenn C., Market structure and innovation, Q. J. Econ., 93, 3, 395-410 (1979) · Zbl 0416.90012
[25] Milchtaich, Igal, Congestion games with player-specific payoff functions, Games Econ. Behav., 13, 1, 111-124 (1996) · Zbl 0848.90131
[26] Monderer, Dov; Shapley, Lloyd S., Potential games, Games Econ. Behav., 14, 124-143 (1996) · Zbl 0862.90137
[27] Selten, R., Reexamination of the perfectness concept for equilibrium points in extensive games, Int. J. Game Theory, 4, 1, 25-55 (1975) · Zbl 0312.90072
[28] Taylor, Curtis R., Digging for golden carrots: an analysis of research tournaments, Am. Econ. Rev., 85, 4, 872-890 (1995)
[29] Tierney, Ryan, The problem of multiple commons: a market design approach, Games Econ. Behav., 114, 1-27 (2019) · Zbl 1419.91401
[30] Von Neumann, John, A certain zero-sum two-person game equivalent to the optimal assignment problem, Contrib. Theory Games, 2, 5-12 (1953) · Zbl 0050.14105
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